Kawashima's relations for interpolated multiple zeta values
type: Item
instance of: scholarly article
title: Kawashima's relations for interpolated multiple zeta values
zbMATH Open document ID: 1370.11104
author: Tatsushi Tanaka
author: Noriko Wakabayashi
published in: Journal of Algebra
publication date: 2015-12-07T00:00:00Z
review text: Kawashima's relation is one that is believed to imply all relations among multiple zeta values. The interpolated multiple zeta value \(\zeta^t(\boldsymbol{k})\in\mathbb{R}[t]\), defined by \textit{S. Yamamoto} [J. Algebra 385, 102--114 (2013; Zbl 1336.11062)], is a polynomial that is equal to the multiple zeta value \(\zeta(\boldsymbol{k})\) when \(t=0\) and to the multiple zeta-star value \(\zeta^{\star}(\boldsymbol{k})\) when \(t=1\). The present paper extends Kawashima's relation to interpolated multiple zeta values, and applies the result to give another proof of the cyclic sum formula for interpolated multiple zeta values.
reviewed by: Shingo Saito
Mathematics Subject Classification ID: 11M32
zbMATH DE Number: 6517047
zbMATH Keywords: \(t\)-MZVs
zbMATH Keywords: harmonic products
zbMATH Keywords: \(t\)-Kawashima relations
zbMATH Keywords: cyclic sum formula
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2015.09.015
OpenAlex ID: W2110888060
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DOI: 10.1016/J.JALGEBRA.2015.09.015
description: scientific article; zbMATH DE number 6517047